Главная
Study mode:
on
You
History
Saved
In progress 0 courses
compleat 0 courses
#Art & Design #Adobe #ChatGPT #GitHub

#Cauchy Sequences

Showing: 10 courses

Sequences

0 rewiews
Explore fundamental concepts of sequences, including limits, convergence, and advanced topics like limsup and the Bolzano Weierstraß Theorem. Gain a deep understanding of mathematical analysis.
Add to list
48 Lesons
10 hours
On-Demand
Free-Video
statisticsmatt

Sequences and Series of Real Numbers and Functions

0 rewiews
Comprehensive exploration of real number sequences and series, covering convergence, limits, and advanced mathematical concepts for a deep understanding of analysis fundamentals.
Add to list
32 Lesons
4 hours 30 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Real Analysis

0 rewiews
Comprehensive exploration of real analysis, covering sequences, limits, series, functions, continuity, differentiation, integration, and fundamental theorems of calculus.
Add to list
64 Lesons
10 hours
On-Demand
Free-Video
The Bright Side of Mathematics

Functional Analysis

0 rewiews
Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.
Add to list
32 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Insights into Mathematics

Problems with Limits and Cauchy Sequences - Real Numbers and Limits Math Foundations

0 rewiews
Explores challenges in defining real numbers using Cauchy sequences, discussing convergence concepts and visualizing sequences in the plane. Highlights issues in establishing arithmetic for real numbers.
Add to list
8 Lesons
29 minutes
On-Demand
Free-Video
Insights into Mathematics

Real Numbers as Cauchy Sequences - Limitations and Challenges - Math Foundations 114

0 rewiews
Explores logical weaknesses in using Cauchy sequences to define real numbers, challenging traditional approaches and highlighting ambiguities in fundamental mathematical concepts.
Add to list
13 Lesons
52 minutes
On-Demand
Free-Video
Insights into Mathematics

Real Numbers and Cauchy Sequences of Rationals - Math Foundations 113

0 rewiews
Explore Archimedean real numbers and Cauchy sequences, examining their definitions, properties, and applications in mathematical analysis and approximation theory.
Add to list
6 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Real Numbers and Cauchy Sequences of Rationals - Math Foundations 112

0 rewiews
Explores the concept of real numbers, challenging their existence and examining how quantities like length, area, and function values are inherently approximate rather than exact 'real' values.
Add to list
8 Lesons
36 minutes
On-Demand
Free-Video
Insights into Mathematics

Real Numbers and Cauchy Sequences of Rationals - Math Foundations 111

0 rewiews
Explores Cauchy sequences of rational numbers as a foundation for real numbers, discussing limits, equivalence classes, and the logical challenges in this approach to constructing the real number system.
Add to list
7 Lesons
21 minutes
On-Demand
Free-Video
Insights into Mathematics

Dedekind Cuts and Computational Difficulties with Real Numbers - Famous Math Problems 19

0 rewiews
Explores the challenges and misconceptions surrounding 'real numbers', examining various approaches like infinite decimals, Dedekind cuts, and Cauchy sequences, while emphasizing the importance of concrete computations in mathematics.
Add to list
1 Lesons
1 hour 10 minutes
On-Demand
Free-Video